Details

Time bar (total: 18.7s)

sample59.0ms

Algorithm
intervals
Results
12.0ms272×body80valid
12.0ms268×body80nan

simplify9.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088
1128
2148
done148

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.7b

localize24.0ms

Local error

Found 3 expressions with local error:

0.9b
(* c0 (sqrt (/ A (* V l))))
6.1b
(/ A (* V l))
18.3b
(sqrt (/ A (* V l)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×sqrt-prod
11×add-cube-cbrt *-un-lft-identity
10×add-exp-log associate-*r* add-cbrt-cube
9×times-frac
6×pow1
3×associate-*l* div-inv associate-/l* add-log-exp
2×cbrt-undiv sqrt-div div-exp prod-exp cbrt-unprod unswap-sqr
1×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 associate-*r/ pow-prod-down clear-num associate-/r* *-commutative
Counts
3 → 66
Calls
3 calls:
33.0ms
(* c0 (sqrt (/ A (* V l))))
13.0ms
(/ A (* V l))
11.0ms
(sqrt (/ A (* V l)))

series117.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(* c0 (sqrt (/ A (* V l))))
22.0ms
(/ A (* V l))
44.0ms
(sqrt (/ A (* V l)))

simplify3.6s

Counts
75 → 75
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
0103661
1208611
2586561
31997561
done5000561

prune265.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 8.2b

localize10.0ms

Local error

Found 3 expressions with local error:

0.9b
(* c0 (sqrt (* (/ 1 V) (/ A l))))
3.6b
(* (/ 1 V) (/ A l))
18.3b
(sqrt (* (/ 1 V) (/ A l)))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
27×add-exp-log
25×times-frac
21×*-un-lft-identity
19×add-cube-cbrt
17×associate-*r* add-cbrt-cube
16×associate-*l*
10×pow1
9×prod-exp
8×div-exp
7×unswap-sqr
6×sqrt-div associate-*r/
5×cbrt-unprod
4×cbrt-undiv
3×frac-times pow-prod-down associate-*l/ add-log-exp
2×rec-exp sqrt-pow1 1-exp sqrt-prod *-commutative div-inv
1×pow1/2
Counts
3 → 92
Calls
3 calls:
49.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
37.0ms
(* (/ 1 V) (/ A l))
10.0ms
(sqrt (* (/ 1 V) (/ A l)))

series160.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
31.0ms
(* (/ 1 V) (/ A l))
61.0ms
(sqrt (* (/ 1 V) (/ A l)))

simplify2.7s

Counts
101 → 101
Iterations

Useful iterations: 2 (184.0ms)

IterNodesCost
01611072
1393847
21157733
33629733
done5000733

prune376.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 4.8b

localize11.0ms

Local error

Found 3 expressions with local error:

0.9b
(* c0 (sqrt (/ (/ A l) V)))
3.5b
(/ (/ A l) V)
18.3b
(sqrt (/ (/ A l) V))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
213×times-frac
134×add-sqr-sqrt
117×add-cube-cbrt *-un-lft-identity
89×sqrt-prod
46×associate-*r*
13×div-inv associate-/l*
10×add-exp-log add-cbrt-cube
6×pow1
4×unswap-sqr
3×cbrt-undiv rem-sqrt-square div-exp associate-*l* associate-/r* add-log-exp
2×sqrt-div
1×frac-2neg sqrt-pow1 pow1/2 associate-*r/ pow-prod-down prod-exp clear-num *-commutative cbrt-unprod associate-/l/
Counts
3 → 191
Calls
3 calls:
43.0ms
(* c0 (sqrt (/ (/ A l) V)))
11.0ms
(/ (/ A l) V)
14.0ms
(sqrt (/ (/ A l) V))

series154.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(* c0 (sqrt (/ (/ A l) V)))
33.0ms
(/ (/ A l) V)
54.0ms
(sqrt (/ (/ A l) V))

simplify2.7s

Counts
200 → 200
Iterations

Useful iterations: 3 (972.0ms)

IterNodesCost
03092510
15712318
211782222
329712192
done50012192

prune928.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt A)
0.5b
(cbrt A)
0.6b
(cbrt V)
0.6b
(cbrt V)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
2.0ms
(cbrt A)
2.0ms
(cbrt A)
2.0ms
(cbrt V)
2.0ms
(cbrt V)

series1.2s

Counts
4 → 12
Calls
4 calls:
316.0ms
(cbrt A)
324.0ms
(cbrt A)
319.0ms
(cbrt V)
267.0ms
(cbrt V)

simplify2.2s

Counts
56 → 56
Iterations

Useful iterations: 3 (89.0ms)

IterNodesCost
042260
171244
2144220
3298208
4773208
52577208
done5001208

prune302.0ms

Pruning

20 alts after pruning (18 fresh and 2 done)

Merged error: 0.0b

regimes983.0ms

Accuracy

0% (1.1b remaining)

Error of 1.2b against oracle of 0.1b and baseline of 1.2b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01321
11521
done1521

end0.0ms

sample2.5s

Algorithm
intervals
Results
456.0ms8872×body80valid
444.0ms8940×body80nan